We have explored the evolution of the efficiency of generalized simulated a
nnealing (GSA) through a comparative study with classical simulated anneali
ng (CSA) and fast simulated annealing (FSA). Our calculations on the Thomso
n model and nickel clusters show that the relative efficiency of GSA compar
ed to CSA and FSA increases with the number of variables of the objective f
unction. Thus, relative to CSA and FSA, the more complex the system, the mo
re efficient is the GSA method.